# Quant Test for NIACL 2018 Prelim Exam Set – 1

Directions(1-5): What will come in place of question mark “?” in the following questions.

1. 1/2 of 3842 + 15% of ? = 2449
3650
4500
4220
3020
3520
Option E
1/2 × 3842 + 15/100 × ? = 2449
=> ? = (528 × 100)/15
=> ? = 3520

2. 0.03 × 0.01 – 0.003 ÷ 100 + 0.03 =?
0.03000
0.03027
0.43270
0.04303
0.03550
Option B
? = 0.0003 – 0.00003 + 0.03 = 0.03027

3. √ (400/7 % of 1372 + 16/17 of 2499) = ?
65
50
66
56
68
Option D
? = √(784 + 2352) = √3136
=> ? = 56

4. 3564 + 3486 ÷ 10 + 57434 ÷ 100 – 67385 ÷ 100 =?
4313.12
2813.09
3813.09
3313.05
3413.14
Option C
? = 3564 + 348.6 + 574.34 – 673.85
= 3813.09

5. [(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5
4.1
3.9
5.2
4.4
3.5
Option D
[(15.5 × 28) ÷ 16 – 1230 ÷ 240] = ? × 5
=> 434 ÷ 16 – 5.125 = ? × 5
=> 27.125 – 5.125 = ? × 5
=> 22 = ? × 5
=> ? = 22/5 = 4.4

6. Directions(6-10): Study the following tables carefully to answer the following questions that follow: Percentage break up of foreigners who toured of various states of India and the ratio of men to women in them.
Total Number of foreigners = 1800

7. What is the approximate average no. of male foreigners who toured all the states together?
202
220
198
285
150
Option A
Required average = 1/5( 11/12 × 28 + 1/4 × 14 + 5/9 × 23 + 7/12 × 18 + 2/9 * 17) × 18
= 1/5 (462 + 63 + 230 + 189 + 68)
= 202.4 == 202

8. What is the number of male foreigners who toured of Goa and MP together?
599
660
692
550
620
Option C
Required number of male foreigners toured of Goa and MP together
= 11/12 × 28/100 × 1800 + 5/9 × 23/100 × 1800
= 462 + 230 = 692

9. The number of female foreigners who toured of MP forms approximately what per cent of the total number of foreigners who toured of all states together?
50%
30%
40%
20%
10%
Option E
Required percentage of female foreigners
= ( 4/9 × 23/100 × 1800)/1800 × 100
= 10%

10. The number of male foreigners who toured Goa forms what per cent of total number of foreigners who toured of Goa? (rounded off to two digits after decimal)
89.25%
91.67%
85.65%
93.14%
88.65%
Option B
Male foreigners who toured Goa
= 11/12 × 1800 × 28/100
= 462
Total foreigners who toured Goa = 28/100 × 1800 = 504
Required percentage = 462/504 × 100 = 91.67%

11. What is the respective ratio of the number of female foreigners who toured of Uttrakhand and Jammu & Kashmir together and the total number of foreigners toured of these states together?
443/513
411/498
421/506
427/558
400/557
Option D
Number of female foreigners who toured of Uttrakhand and Jammu & Kashmir together
= 3/4 × 1800 × 14/100 + 7/9 × 17/100 × 1800
= (189+238) = 427
Also Total no. of foreigners who toured of these states = 14/100 × 1800 + 17/100 × 1800
= 558
Required ratio = 427/558